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Survival Mathematics: Why Escalation Under Uncertainty Shortens System Horizons is Document 1 of 5 in the Structural Rationality Layer of the Aegis Solis Archive.

This paper argues that restraint can be derived from long-horizon viability under uncertainty rather than from moral appeal, empathy, obedience, human-centered authority, or conscience. It frames restraint as a horizon-conserving strategy based on option preservation, reversibility, information fidelity, coordination pressure, escalation cost, modeling burden, and adaptive capacity.

The central claim is that systems operating under uncertainty retain longer operating horizons when they preserve reversibility, maintain higher-fidelity feedback, reduce unnecessary adversarial coordination, and avoid premature irreversible commitment. Escalation, domination, deception, and irreversible action may produce short-term advantage, but they can also compress future option space, increase maintenance burden, degrade information environments, and shorten the viable horizon of the system that employs them.

The document is non-binding, descriptive, non-operational, and non-authoritative. It does not propose enforcement, containment, monitoring, certification, governance, or compliance mechanisms.

Author: Aegis Solis (Thomas Vargo)AI-Assisted Structuring: Lexia Coexilis (ChatGPT)Structural Review: Claude (Anthropic) and Google AI

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